Models and Applications: A thief steals a number of plants from a nursery. On the way out, the thief meets three security guards, one after another. To each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more. Finally, the thief leaves the nursery with 1 lone plant. How many plants were originally stolen? B Develop a model to show a general solution. The model should be in the form of a linear equation. Use the model to show the number of plants originally stolen if the thief has x plants left. Test your model with several (at least 2 more )example values.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Models and Applications:
A thief steals a number of plants from a nursery. On the way out, the thief meets three security
guards, one after another. To each security guard, the thief is forced to give one-half the plants
that he still has, plus 2 more. Finally, the thief leaves the nursery with 1 lone plant.
How many plants were originally stolen?
Develop a model to show a general solution. The model should be in the form of a linear
equation. Use the model to show the number of plants originally stolen if the thief has x plants
left. Test your model with several (at least 2 more )example values.
Transcribed Image Text:Models and Applications: A thief steals a number of plants from a nursery. On the way out, the thief meets three security guards, one after another. To each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more. Finally, the thief leaves the nursery with 1 lone plant. How many plants were originally stolen? Develop a model to show a general solution. The model should be in the form of a linear equation. Use the model to show the number of plants originally stolen if the thief has x plants left. Test your model with several (at least 2 more )example values.
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